Class 10 Maths Real Numbers Important MCQ Questions with Solutions

Class 10 Maths Real Numbers Important MCQ Questions with Solutions PDF 2026 CBSE Board

Hello students we are sorry to write this artical because of my PGT exam was held on 9th of may . Now we are active again for you today we are providing you chapter wise Class 10 Maths Real Numbers Important MCQ Questions with Solutions .

1. The exponent of in the prime factorisation of 3750 is ;

a. 3

b. 4

c. 5

d. 6

Answer – 4

2. If a and b are two co – prime number then a3 and b3 are :

a. co -prime

b. not co- prime

c. even

d. odd

Answer – co – prime

3. HCF of two number is 23 and their LCM is 1499. If one of the number is 161, then the other number is :

a. 207

b. 307

c. 1449

d. None of these

Answer – 207

4. 7 x 11 x 17 + 17 is :

b. a composite number

a. a prime number

c. an odd number

d. divisible by 5

Answer- a composite number

5. If two positive integer a and b are written as a= x3 Y2 and b = xy2 , Where x, y are prime numbers, then the result obtained by dividing the product of the position integers by the LCM (a,b) is:

a. xy

b. xy2

c. x3 y3

d. x2 y2

Answer- xy2

6. Let a and b two positive integers such that a=p3 q4 and b= p2 q3, Where p and q are prime numbers. If HCF (a,b) = pm qn and LCM (a,b) = pr qs, then (m + n) (r + s)=

a. 15

b. 30

c. 35

d. 72

Answer- 35

7. What is the greatest possible speed at which a girl can walk 95m and 171m in an exact number of minutes?

a. 17m/min

b. 19 m/min

c. 23 m/min

d. 13 m/min

Answer- 19 m/min

8. If n is a natural number, then 2(5n + 6n) always ends with:

a. 1

b. 4

c. 3

d. 2

Answer- 2

9. The ratio of HCF to LCM of the least composite number and the least prime number is:

a. 1 : 2

b. 2 : 1

c. 1 : 1

d. 1 : 3

Answer- 1 :2

10. If LCM (x, 18) = 36 and HCF (x, 18) = 2, then x is:

a. 2

b. 3

c.4

d. 5

Answer- 4

11. If the LCM of 12 and 42 is 10m + 4, then the value of m is:

a. 50

b. 8

c. 1/5

d. 1

Answer- 8

12. The LCM and HCF of two non-zero positive numbers are equal, then the number must be:

a. prime

b. co-prime

c. composite

d. equal

Answer- equal

13. The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is:

a. 10

b. 100

c. 504

d. 2520

Answer- 2520

14. If ‘p’ and ‘q’ are natural numbers and ‘p’ is the multiple of ‘q’ , then what is the HCF of ‘p’ and ‘q’ ?

a. pq

b. p

c. q

d. p + q

Answer- q

15. The least number which when divided by 18,24,30 and 42 will leave in each case the same remainder 1, would be:

a. 2520

b. 2519

c. 2521

d. None of these

Answer- 2521

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